IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i3p36-d134423.html
   My bibliography  Save this article

Role of Bi-Directional Migration in Two Similar Types of Ecosystems

Author

Listed:
  • Nikhil Pal

    (Department of Mathematics, Visva-Bharati University, Santiniketan 731235, India)

  • Sudip Samanta

    (Department of Mathematics, Faculty of Science & Arts-Rabigh, King Abdulaziz University, Rabigh 25732, Saudi Arabia)

  • Maia Martcheva

    (Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
    Work supported by NSF grant DMS-1515661.)

  • Joydev Chattopadhyay

    (Agricultural and Ecological Research Unit, Indian Statistical Institute 203, B. T. Road, Kolkata 700108, India)

Abstract

Migration is a key ecological process that enables connections between spatially separated populations. Previous studies have indicated that migration can stabilize chaotic ecosystems. However, the role of migration for two similar types of ecosystems, one chaotic and the other stable, has not yet been studied properly. In the present paper, we investigate the stability of ecological systems that are spatially separated but connected through migration. We consider two similar types of ecosystems that are coupled through migration, where one system shows chaotic dynamics, and other shows stable dynamics. We also note that the direction of the migration is bi-directional and is regulated by the population densities. We propose and analyze the coupled system. We also apply our proposed scheme to three different models. Our results suggest that bi-directional migration makes the coupled system more regular. We have performed numerical simulations to illustrate the dynamics of the coupled systems.

Suggested Citation

  • Nikhil Pal & Sudip Samanta & Maia Martcheva & Joydev Chattopadhyay, 2018. "Role of Bi-Directional Migration in Two Similar Types of Ecosystems," Mathematics, MDPI, vol. 6(3), pages 1-16, March.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:3:p:36-:d:134423
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/3/36/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/3/36/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Upadhyay, Ranjit Kumar & Rai, Vikas, 2009. "Complex dynamics and synchronization in two non-identical chaotic ecological systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2233-2241.
    2. Pal, Nikhil & Samanta, Sudip & Chattopadhyay, Joydev, 2014. "Revisited Hastings and Powell model with omnivory and predator switching," Chaos, Solitons & Fractals, Elsevier, vol. 66(C), pages 58-73.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. de Godoy, Isabelle Bueno Silva & McGrane-Corrigan, Blake & Mason, Oliver & Moral, Rafael de Andrade & Godoy, Wesley Augusto Conde, 2023. "Plant-host shift, spatial persistence, and the viability of an invasive insect population," Ecological Modelling, Elsevier, vol. 475(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Jin-Shan & Wu, Yong-Ping & Li, Li & Sun, Gui-Quan, 2020. "Effect of mobility and predator switching on the dynamical behavior of a predator-prey model," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    2. Hossain, Mainul & Pati, N.C. & Pal, Saheb & Rana, Sourav & Pal, Nikhil & Layek, G.C., 2021. "Bifurcations and multistability in a food chain model with nanoparticles," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 808-825.
    3. Mortoja, Sk Golam & Panja, Prabir & Paul, Ayan & Bhattacharya, Sabyasachi & Mondal, Shyamal Kumar, 2020. "Is the intermediate predator a key regulator of a tri-trophic food chain model?: An illustration through a new functional response," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    4. Lee, S.H. & Park, M.J. & Kwon, O.M. & Sakthivel, R., 2016. "Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 439-459.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:6:y:2018:i:3:p:36-:d:134423. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.